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Finding the Fourth Proportional to 14,269.86, 21,406.01 and 3,739.86

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Solution

The fourth proportional to 14,269.86, 21,406.01 and 3,739.86 is: 5,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.86 : 21,406.01 = 3,739.86 : x
  2. Step 2: Convert to fraction form
    14,269.86/21,406.01 = 3,739.86/x
  3. Step 3: Cross multiply
    14,269.86x = 21,406.01 × 3,739.86
  4. Step 4: Simplify right side
    14,269.86x = 80,055,461.86
  5. Step 5: Solve for x
    x = 80,055,461.86/14,269.86
  6. Step 6: Final answer
    x = 5,610.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.